<iframe style="width: 100%; height: 4in" scrolling="no" srcdoc="

<!DOCTYPE html>
<html><head>
<title></title>
<meta charset=&quot;utf-8&quot;>
<meta name=&quot;viewport&quot; content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>
<style>

    body { margin: 0px; overflow: hidden; }

    #menu-container { position: absolute; bottom: 30px; right: 40px; cursor: default; }

    #menu-message { position: absolute; bottom: 0px; right: 0px; white-space: nowrap;
                    display: none; background-color: #F5F5F5; padding: 10px; }

    #menu-content { position: absolute; bottom: 0px; right: 0px;
                    display: none; background-color: #F5F5F5; border-bottom: 1px solid black;
                    border-right: 1px solid black; border-left: 1px solid black; }

    #menu-content div { border-top: 1px solid black; padding: 10px; white-space: nowrap; }

    #menu-content div:hover { background-color: #FEFEFE;; }

</style>
<style>/* animation.css */

#animation-ui {
    position: absolute;
    top: 0;
    left: 0;
    width: 100%;
}

#animation-ui .tick-marks {
    height: 6px;
    margin-bottom: 6px;
    margin-left: 6px; /* Take into account the slider knob/thumb's width. */
    margin-right: 5px; /* Same, but save a pixel for the last tick mark. */
    background-image: repeating-linear-gradient(
        to right,
        darkgray 0 1px, /* Make each tick 1px wide. */
        /* -1px here because of that extra pixel on the right margin */
        transparent 1px calc((100% - 1px) / 65)
    );
}

#animation-ui,
#animation-ui .buttons {
    font-size: 0; /* hack to ignore white-space between inline-block elements */
}

#animation-ui button {
    display: inline-block;
    margin: 0;
    padding: 2px;
    width: 28px;
    height: 28px;
    background: none;
    border: none;
    border-radius: 28px;
    cursor: pointer;
}

#animation-ui button:focus {
    background: #b8b9ff;
    outline: none;
}

/* Setting the outline to none isn't enough for Firefox. */
#animation-ui button::-moz-focus-inner {
    border: none;
}

#animation-ui button:active {
    background: #efefff;
}

#animation-ui.playing .play,
#animation-ui.paused .pause,
#animation-ui.loop .once,
#animation-ui.once .loop {
    display: none;
}

/*
Slider styled using range.css tool by Daniel Stern
   http://danielstern.ca/range.css/#/
   Generated April 24, 2020
Customizations:
    - darker focus color
    - focused styling for Firefox.
*/
input[type=range].slider {
    -webkit-appearance: none;
    width: 100%;
    margin: 0px 0;
}
input[type=range].slider:focus {
    outline: none;
}
input[type=range].slider::-webkit-slider-runnable-track {
    width: 100%;
    height: 12px;
    cursor: pointer;
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
    background: #efefff;
    border-radius: 6px;
    border: 0px solid #000000;
}
input[type=range].slider::-webkit-slider-thumb {
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
    border: 0px solid #000000;
    height: 12px;
    width: 12px;
    border-radius: 6px;
    background: #3131ff;
    cursor: pointer;
    -webkit-appearance: none;
    margin-top: 0px;
}
input[type=range].slider:focus::-webkit-slider-runnable-track {
    background: #b8b9f6;
}
input[type=range].slider::-moz-range-track {
    width: 100%;
    height: 12px;
    cursor: pointer;
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
    background: #efefff;
    border-radius: 6px;
    border: 0px solid #000000;
}
input[type=range].slider::-moz-range-thumb {
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
    border: 0px solid #000000;
    height: 12px;
    width: 12px;
    border-radius: 6px;
    background: #3131ff;
    cursor: pointer;
}
input[type=range].slider:focus::-moz-range-track {
    background: #b8b9f6;
}
input[type=range].slider::-moz-focus-outer {
    border: none;
}
input[type=range].slider::-ms-track {
    width: 100%;
    height: 12px;
    cursor: pointer;
    background: transparent;
    border-color: transparent;
    color: transparent;
}
input[type=range].slider::-ms-fill-lower {
    background: #efefff;
    border: 0px solid #000000;
    border-radius: 6px;
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
}
input[type=range].slider::-ms-fill-upper {
    background: #efefff;
    border: 0px solid #000000;
    border-radius: 6px;
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
}
input[type=range].slider::-ms-thumb {
    box-shadow: 0px 0px 0px #000000, 0px 0px 0px #0d0d0d;
    border: 0px solid #000000;
    width: 12px;
    border-radius: 6px;
    background: #3131ff;
    cursor: pointer;
    height: 12px;
}
input[type=range].slider:focus::-ms-fill-lower {
    background: #b8b9f6;
}
input[type=range].slider:focus::-ms-fill-upper {
    background: #b8b9f6;
}
</style>
</head>

<body>

<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/build/three.min.js&quot;></script>
<script src=&quot;https://cdn.jsdelivr.net/gh/mrdoob/three.js@r117/examples/js/controls/OrbitControls.js&quot;></script>

<script>

    var scene = new THREE.Scene();

    var renderer = new THREE.WebGLRenderer( { antialias: true, preserveDrawingBuffer: true } );
    renderer.setPixelRatio( window.devicePixelRatio );
    renderer.setSize( window.innerWidth, window.innerHeight );
    renderer.setClearColor( 0xffffff, 1 );
    document.body.appendChild( renderer.domElement );

    var options = {&quot;animate&quot;: true, &quot;animationControls&quot;: true, &quot;aspectRatio&quot;: [1.0, 1.0, 1.0], &quot;autoPlay&quot;: false, &quot;axes&quot;: false, &quot;axesLabels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;], &quot;decimals&quot;: 2, &quot;delay&quot;: 5, &quot;frame&quot;: true, &quot;loop&quot;: true, &quot;projection&quot;: &quot;orthographic&quot;, &quot;viewpoint&quot;: false};
    var animate = options.animate;

    var b = [{&quot;x&quot;:-1.0, &quot;y&quot;:-1.0, &quot;z&quot;:0.0}, {&quot;x&quot;:1.0, &quot;y&quot;:1.0, &quot;z&quot;:6.283185307179586}]; // bounds

    if ( b[0].x === b[1].x ) {
        b[0].x -= 1;
        b[1].x += 1;
    }
    if ( b[0].y === b[1].y ) {
        b[0].y -= 1;
        b[1].y += 1;
    }
    if ( b[0].z === b[1].z ) {
        b[0].z -= 1;
        b[1].z += 1;
    }

    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )
                            + Math.pow( b[1].y - b[0].y, 2 ) );
    var xRange = b[1].x - b[0].x;
    var yRange = b[1].y - b[0].y;
    var zRange = b[1].z - b[0].z;

    var ar = options.aspectRatio;
    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers
    var autoAspect = 2.5;
    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;

    // Distance from (xMid,yMid,zMid) to any corner of the bounding box, after applying aspectRatio
    var midToCorner = Math.sqrt( a[0]*a[0]*xRange*xRange + a[1]*a[1]*yRange*yRange + a[2]*a[2]*zRange*zRange ) / 2;

    var xMid = ( b[0].x + b[1].x ) / 2;
    var yMid = ( b[0].y + b[1].y ) / 2;
    var zMid = ( b[0].z + b[1].z ) / 2;

    var box = new THREE.Geometry();
    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );
    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );
    var boxMesh = new THREE.Line( box );
    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );

    if ( options.axesLabels ) {

        var d = options.decimals; // decimals
        var offsetRatio = 0.1;
        var al = options.axesLabels;

        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );
        var xm = xMid.toFixed(d);
        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);
        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );
        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );
        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );

        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );
        var ym = yMid.toFixed(d);
        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);
        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );
        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );
        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );

        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );
        var zm = zMid.toFixed(d);
        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);
        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );
        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );
        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );

    }

    function addLabel( text, x, y, z, color='black', fontsize=14  ) {

        var canvas = document.createElement( 'canvas' );
        var pixelRatio = Math.round( window.devicePixelRatio );
        canvas.width = 128 * pixelRatio;
        canvas.height = 32 * pixelRatio; // powers of two
        canvas.style.width = '128px';
        canvas.style.height = '32px';

        var context = canvas.getContext( '2d' );
        context.scale( pixelRatio, pixelRatio );
        context.fillStyle = color;
        context.font = fontsize + 'px monospace';
        context.textAlign = 'center';
        context.textBaseline = 'middle';
        context.fillText( text, canvas.width/2/pixelRatio, canvas.height/2/pixelRatio );

        var texture = new THREE.Texture( canvas );
        texture.needsUpdate = true;

        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( { map: texture } ) );
        sprite.position.set( x, y, z );

        // Set the initial scale based on plot size to accommodate orthographic projection.
        // For other projections, the scale will get reset each frame based on camera distance.
        var scale = midToCorner/2;
        sprite.scale.set( scale, scale*.25, 1 ); // ratio of canvas width to height

        scene.add( sprite );

        return sprite;

    }

    if ( options.axes ) scene.add( new THREE.AxesHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );

    var camera = createCamera();
    camera.up.set( 0, 0, 1 );
    camera.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );

    var offset = new THREE.Vector3( a[0]*xRange, a[1]*yRange, a[2]*zRange );

    if ( options.viewpoint ) {

        var aa = options.viewpoint;
        var axis = new THREE.Vector3( aa[0][0], aa[0][1], aa[0][2] ).normalize();
        var angle = aa[1] * Math.PI / 180;
        var q = new THREE.Quaternion().setFromAxisAngle( axis, angle ).inverse();

        offset.set( 0, 0, offset.length() );
        offset.applyQuaternion( q );

    }

    camera.position.add( offset );

    function createCamera() {

        var aspect = window.innerWidth / window.innerHeight;

        if ( options.projection === 'orthographic' ) {
            var camera = new THREE.OrthographicCamera( -1, 1, 1, -1, -1000, 1000 );
            updateCameraAspect( camera, aspect );
            return camera;
        }

        return new THREE.PerspectiveCamera( 45, aspect, 0.1, 1000 );

    }

    function updateCameraAspect( camera, aspect ) {

        if ( camera.isPerspectiveCamera ) {
            camera.aspect = aspect;
        } else if ( camera.isOrthographicCamera ) {
            // Fit the camera frustum to the bounding box's diagonal so that the entire plot fits
            // within at the default zoom level and camera position.
            if ( aspect > 1 ) { // Wide window
                camera.top = midToCorner;
                camera.right = midToCorner * aspect;
            } else { // Tall or square window
                camera.top = midToCorner / aspect;
                camera.right = midToCorner;
            }
            camera.bottom = -camera.top;
            camera.left = -camera.right;
        }

        camera.updateProjectionMatrix();

    }

    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];
    for ( var i=0 ; i < lights.length ; i++ ) {
        var light = new THREE.DirectionalLight( lights[i].color, 1 );
        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );
        if ( lights[i].parent === 'camera' ) {
            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );
            scene.add( light.target );
            camera.add( light );
        } else scene.add( light );
    }
    scene.add( camera );

    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};
    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );

    var controls = new THREE.OrbitControls( camera, renderer.domElement );
    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );
    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );

    window.addEventListener( 'resize', function() {

        renderer.setSize( window.innerWidth, window.innerHeight );
        updateCameraAspect( camera, window.innerWidth / window.innerHeight );
        if ( !animate ) render();

    } );

    var texts = [];
    for ( var i=0 ; i < texts.length ; i++ ) addText( texts[i] );

    function addText( json ) {
        var sprite = addLabel( json.text, a[0]*json.x, a[1]*json.y, a[2]*json.z, json.color );
        sprite.userData = json;
    }

    var points = [];
    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );

    function addPoint( json ) {

        var geometry = new THREE.Geometry();
        var v = json.point;
        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );

        var canvas = document.createElement( 'canvas' );
        canvas.width = 128;
        canvas.height = 128;

        var context = canvas.getContext( '2d' );
        context.arc( 64, 64, 64, 0, 2 * Math.PI );
        context.fillStyle = json.color;
        context.fill();

        var texture = new THREE.Texture( canvas );
        texture.needsUpdate = true;

        var transparent = json.opacity < 1 ? true : false;
        var size = camera.isOrthographicCamera ? json.size : json.size/100;
        var material = new THREE.PointsMaterial( { size: size, map: texture,
                                                   transparent: transparent, opacity: json.opacity,
                                                   alphaTest: .1 } );

        var c = new THREE.Vector3();
        geometry.computeBoundingBox();
        geometry.boundingBox.getCenter( c );
        geometry.translate( -c.x, -c.y, -c.z );

        var mesh = new THREE.Points( geometry, material );
        mesh.position.set( c.x, c.y, c.z );
        mesh.userData = json;
        scene.add( mesh );

    }

    var lines = [{&quot;points&quot;: [[0.0, 0.0, 0.0], [0.08480592447550919, 0.0, 0.08490790955648089], [0.16900082032184907, 0.0, 0.16981581911296179], [0.2519780613851252, 0.0, 0.2547237286694427], [0.33313979474205757, 0.0, 0.33963163822592357], [0.4119012482439926, 0.0, 0.42453954778240444], [0.4876949438136345, 0.0, 0.5094474573388853], [0.5599747861375953, 0.0, 0.5943553668953662], [0.6282199972956422, 0.0, 0.679263276451847], [0.6919388689775461, 0.0, 0.7641711860083279], [0.7506723052527242, 0.0, 0.8490790955648088], [0.8039971303669404, 0.0, 0.9339870051212896], [0.8515291377333112, 0.0, 1.0188949146777706], [0.8929258581495684, 0.0, 1.1038028242342515], [0.9278890272965092, 0.0, 1.1887107337907323], [0.9561667347392508, 0.0, 1.2736186433472132], [0.9775552389476861, 0.0, 1.358526552903694], [0.9919004352588768, 0.0, 1.443434462460175], [0.9990989662046814, 0.0, 1.5283423720166558], [0.9990989662046815, 0.0, 1.6132502815731367], [0.991900435258877, 0.0, 1.6981581911296175], [0.9775552389476863, 0.0, 1.7830661006860984], [0.9561667347392511, 0.0, 1.8679740102425793], [0.9278890272965096, 0.0, 1.9528819197990601], [0.8929258581495686, 0.0, 2.037789829355541], [0.8515291377333114, 0.0, 2.1226977389120223], [0.8039971303669405, 0.0, 2.2076056484685034], [0.7506723052527242, 0.0, 2.2925135580249845], [0.6919388689775459, 0.0, 2.3774214675814656], [0.6282199972956418, 0.0, 2.4623293771379466], [0.5599747861375948, 0.0, 2.5472372866944277], [0.4876949438136337, 0.0, 2.632145196250909], [0.4119012482439916, 0.0, 2.71705310580739], [0.3331397947420563, 0.0, 2.801961015363871], [0.2519780613851237, 0.0, 2.886868924920352], [0.16900082032184738, 0.0, 2.971776834476833], [0.08480592447550729, 0.0, 3.0566847440333142], [-2.097981369335578e-15, 0.0, 3.1415926535897953], [-0.08480592447551147, 0.0, 3.2265005631462764], [-0.1690008203218515, 0.0, 3.3114084727027575], [-0.2519780613851278, 0.0, 3.3963163822592386], [-0.33313979474206024, 0.0, 3.4812242918157197], 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0.0, 4.7548429351629355], [-0.9919004352588762, 0.0, 4.839750844719417], [-0.977555238947685, 0.0, 4.924658754275898], [-0.9561667347392492, 0.0, 5.009566663832379], [-0.9278890272965071, 0.0, 5.09447457338886], [-0.8929258581495657, 0.0, 5.179382482945341], [-0.851529137733308, 0.0, 5.264290392501822], [-0.8039971303669367, 0.0, 5.349198302058303], [-0.7506723052527199, 0.0, 5.434106211614784], [-0.6919388689775412, 0.0, 5.519014121171265], [-0.6282199972956368, 0.0, 5.603922030727746], [-0.5599747861375893, 0.0, 5.6888299402842275], [-0.487694943813628, 0.0, 5.773737849840709], [-0.41190124824398566, 0.0, 5.85864575939719], [-0.33313979474205013, 0.0, 5.943553668953671], [-0.25197806138511736, 0.0, 6.028461578510152], [-0.16900082032184094, 0.0, 6.113369488066633], [-0.08480592447550077, 0.0, 6.198277397623114], [-2.4492935982947064e-16, 0.0, 6.283185307179586]], &quot;color&quot;: &quot;#ff0000&quot;, &quot;opacity&quot;: 1.0, &quot;linewidth&quot;: 1.0, &quot;keyframe&quot;: 64}, {&quot;points&quot;: [[0.0, -0.0, 0.0], [0.0, -0.08480592447550919, 0.08490790955648089], [0.0, -0.16900082032184907, 0.16981581911296179], [0.0, -0.2519780613851252, 0.2547237286694427], [0.0, -0.33313979474205757, 0.33963163822592357], [0.0, -0.4119012482439926, 0.42453954778240444], [0.0, -0.4876949438136345, 0.5094474573388853], [0.0, -0.5599747861375953, 0.5943553668953662], [0.0, -0.6282199972956422, 0.679263276451847], [0.0, -0.6919388689775461, 0.7641711860083279], [0.0, -0.7506723052527242, 0.8490790955648088], [0.0, -0.8039971303669404, 0.9339870051212896], [0.0, -0.8515291377333112, 1.0188949146777706], [0.0, -0.8929258581495684, 1.1038028242342515], [0.0, -0.9278890272965092, 1.1887107337907323], [0.0, -0.9561667347392508, 1.2736186433472132], [0.0, -0.9775552389476861, 1.358526552903694], [0.0, -0.9919004352588768, 1.443434462460175], [0.0, -0.9990989662046814, 1.5283423720166558], [0.0, -0.9990989662046815, 1.6132502815731367], [0.0, -0.991900435258877, 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0.33313979474206024, 3.4812242918157197], [0.0, 0.41190124824399543, 3.5661322013722008], [0.0, 0.48769494381363737, 3.651040110928682], [0.0, 0.5599747861375982, 3.735948020485163], [0.0, 0.6282199972956451, 3.820855930041644], [0.0, 0.691938868977549, 3.905763839598125], [0.0, 0.750672305252727, 3.990671749154606], [0.0, 0.8039971303669428, 4.075579658711087], [0.0, 0.8515291377333134, 4.160487568267568], [0.0, 0.8929258581495704, 4.245395477824049], [0.0, 0.9278890272965109, 4.33030338738053], [0.0, 0.9561667347392523, 4.415211296937011], [0.0, 0.9775552389476871, 4.500119206493492], [0.0, 0.9919004352588775, 4.585027116049973], [0.0, 0.9990989662046816, 4.6699350256064545], [0.0, 0.9990989662046813, 4.7548429351629355], [0.0, 0.9919004352588762, 4.839750844719417], [0.0, 0.977555238947685, 4.924658754275898], [0.0, 0.9561667347392492, 5.009566663832379], [0.0, 0.9278890272965071, 5.09447457338886], [0.0, 0.8929258581495657, 5.179382482945341], [0.0, 0.851529137733308, 5.264290392501822], [0.0, 0.8039971303669367, 5.349198302058303], [0.0, 0.7506723052527199, 5.434106211614784], [0.0, 0.6919388689775412, 5.519014121171265], [0.0, 0.6282199972956368, 5.603922030727746], [0.0, 0.5599747861375893, 5.6888299402842275], [0.0, 0.487694943813628, 5.773737849840709], [0.0, 0.41190124824398566, 5.85864575939719], [0.0, 0.33313979474205013, 5.943553668953671], [0.0, 0.25197806138511736, 6.028461578510152], [0.0, 0.16900082032184094, 6.113369488066633], [0.0, 0.08480592447550077, 6.198277397623114], [0.0, 2.4492935982947064e-16, 6.283185307179586]], &quot;color&quot;: &quot;#008000&quot;, &quot;opacity&quot;: 1.0, &quot;linewidth&quot;: 1.0, &quot;keyframe&quot;: 64}];
    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );

    function addLine( json ) {

        var geometry = new THREE.Geometry();
        for ( var i=0 ; i < json.points.length ; i++ ) {
            var v = json.points[i];
            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );
        }

        var transparent = json.opacity < 1 ? true : false;
        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,
                                                      transparent: transparent, opacity: json.opacity } );

        var c = new THREE.Vector3();
        geometry.computeBoundingBox();
        geometry.boundingBox.getCenter( c );
        geometry.translate( -c.x, -c.y, -c.z );

        var mesh = new THREE.Line( geometry, material );
        mesh.position.set( c.x, c.y, c.z );
        mesh.userData = json;
        scene.add( mesh );

    }

    var surfaces = [];
    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );

    function addSurface( json ) {

        var useFaceColors = 'faceColors' in json ? true : false;

        var geometry = new THREE.Geometry();
        for ( var i=0 ; i < json.vertices.length ; i++ ) {
            var v = json.vertices[i];
            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );
        }
        for ( var i=0 ; i < json.faces.length ; i++ ) {
            var f = json.faces[i];
            for ( var j=0 ; j < f.length - 2 ; j++ ) {
                var face = new THREE.Face3( f[0], f[j+1], f[j+2] );
                if ( useFaceColors ) face.color.set( json.faceColors[i] );
                geometry.faces.push( face );
            }
        }
        geometry.computeVertexNormals();

        var side = json.singleSide ? THREE.FrontSide : THREE.DoubleSide;
        var transparent = json.opacity < 1 ? true : false;
        var flatShading = json.useFlatShading ? json.useFlatShading : false;

        var material = new THREE.MeshPhongMaterial( { side: side,
                                     color: useFaceColors ? 'white' : json.color,
                                     vertexColors: useFaceColors ? THREE.FaceColors : THREE.NoColors,
                                     transparent: transparent, opacity: json.opacity,
                                     shininess: 20, flatShading: flatShading } );

        var c = new THREE.Vector3();
        geometry.computeBoundingBox();
        geometry.boundingBox.getCenter( c );
        geometry.translate( -c.x, -c.y, -c.z );

        var mesh = new THREE.Mesh( geometry, material );
        mesh.position.set( c.x, c.y, c.z );
        if ( transparent && json.renderOrder ) mesh.renderOrder = json.renderOrder;
        mesh.userData = json;
        scene.add( mesh );

        if ( json.showMeshGrid ) {

            var geometry = new THREE.Geometry();

            for ( var i=0 ; i < json.faces.length ; i++ ) {
                var f = json.faces[i];
                for ( var j=0 ; j < f.length ; j++ ) {
                    var k = j === f.length-1 ? 0 : j+1;
                    var v1 = json.vertices[f[j]];
                    var v2 = json.vertices[f[k]];
                    // vertices in opposite directions on neighboring faces
                    var nudge = f[j] < f[k] ? .0005*zRange : -.0005*zRange;
                    geometry.vertices.push( new THREE.Vector3( a[0]*v1.x, a[1]*v1.y, a[2]*(v1.z+nudge) ) );
                    geometry.vertices.push( new THREE.Vector3( a[0]*v2.x, a[1]*v2.y, a[2]*(v2.z+nudge) ) );
                }
            }

            var material = new THREE.LineBasicMaterial( { color: 'black', linewidth: 1 } );

            var c = new THREE.Vector3();
            geometry.computeBoundingBox();
            geometry.boundingBox.getCenter( c );
            geometry.translate( -c.x, -c.y, -c.z );

            var mesh = new THREE.LineSegments( geometry, material );
            mesh.position.set( c.x, c.y, c.z );
            mesh.userData = json;
            scene.add( mesh );

        }

    }

    var scratch = new THREE.Vector3();

    function render() {

        if ( window.updateAnimation ) animate = updateAnimation();
        if ( animate ) requestAnimationFrame( render );

        renderer.render( scene, camera );

        // Resize text based on distance from camera.
        // Not necessary for orthographic due to the nature of the projection (preserves sizes).
        if ( !camera.isOrthographicCamera ) {
            for ( var i=0 ; i < scene.children.length ; i++ ) {
                if ( scene.children[i].type === 'Sprite' ) {
                    var sprite = scene.children[i];
                    var adjust = scratch.addVectors( sprite.position, scene.position )
                                    .sub( camera.position ).length() / 5;
                    sprite.scale.set( adjust, .25*adjust, 1 ); // ratio of canvas width to height
                }
            }
        }
    }

    render();
    controls.update();
    if ( !animate ) render();


    // menu functions

    function toggleMenu() {

        var m = document.getElementById( 'menu-content' );
        if ( m.style.display === 'block' ) m.style.display = 'none'
        else m.style.display = 'block';

    }


    function saveAsPNG() {

        var a = document.body.appendChild( document.createElement( 'a' ) );
        a.href = renderer.domElement.toDataURL( 'image/png' );
        a.download = 'screenshot';
        a.click();

    }

    function saveAsHTML() {

        toggleMenu(); // otherwise visible in output
        event.stopPropagation();

        var blob = new Blob( [ '<!DOCTYPE html>\n' + document.documentElement.outerHTML ] );
        var a = document.body.appendChild( document.createElement( 'a' ) );
        a.href = window.URL.createObjectURL( blob );
        a.download = 'graphic.html';
        a.click();

    }

    function getViewpoint() {

        function roundTo( x, n ) { return +x.toFixed(n); }

        var v = camera.quaternion.inverse();
        var r = Math.sqrt( v.x*v.x + v.y*v.y + v.z*v.z );
        var axis = [ roundTo( v.x / r, 4 ), roundTo( v.y / r, 4 ), roundTo( v.z / r, 4 ) ];
        var angle = roundTo( 2 * Math.atan2( r, v.w ) * 180 / Math.PI, 2 );

        var textArea = document.createElement( 'textarea' );
        textArea.textContent = JSON.stringify( axis ) + ',' + angle;
        textArea.style.csstext = 'position: absolute; top: -100%';
        document.body.append( textArea );
        textArea.select();
        document.execCommand( 'copy' );

        var m = document.getElementById( 'menu-message' );
        m.innerHTML = 'Viewpoint copied to clipboard';
        m.style.display = 'block';
        setTimeout( function() { m.style.display = 'none'; }, 2000 );

    }

</script>

<div id=&quot;menu-container&quot; onclick=&quot;toggleMenu()&quot;>ⓘ
<div id=&quot;menu-message&quot;></div>
<div id=&quot;menu-content&quot; style=&quot;display: none;&quot;>
<div onclick=&quot;saveAsPNG()&quot;>Save as PNG</div>
<div onclick=&quot;saveAsHTML()&quot;>Save as HTML</div>
<div onclick=&quot;getViewpoint()&quot;>Get Viewpoint</div>
<div>Close Menu</div>
</div></div>

<!-- animation.html -->

<!--
SVG icons by Google
&quot;Icons - Material Design&quot;
    https://material.io/resources/icons/
    Retrieved April 24, 2020
Apache license version 2.0
    https://www.apache.org/licenses/LICENSE-2.0.html
-->

<div id=&quot;animation-ui&quot; class=&quot;paused loop&quot;>

    <input class=&quot;slider&quot; type=&quot;range&quot; min=&quot;0&quot; max=&quot;325&quot; value=&quot;0&quot; step=&quot;any&quot;>
    <div class=&quot;tick-marks&quot;></div>

    <div class=&quot;buttons&quot;>

        <button class=&quot;play-pause&quot; title=&quot;Play/pause&quot;>
            <!-- play_arrow -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; class=&quot;play&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M8 5v14l11-7z&quot;></path>
                <path d=&quot;M0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
            </svg>
            <!-- pause -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; class=&quot;pause&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M6 19h4V5H6v14zm8-14v14h4V5h-4z&quot;></path>
                <path d=&quot;M0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
            </svg>
        </button>

        <button class=&quot;previous&quot; title=&quot;Go to previous frame&quot;>
            <!-- skip_previous -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M6 6h2v12H6zm3.5 6l8.5 6V6z&quot;></path>
                <path d=&quot;M0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
            </svg>
        </button>
        <button class=&quot;next&quot; title=&quot;Go to next frame&quot;>
            <!-- skip_next -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M6 18l8.5-6L6 6v12zM16 6v12h2V6h-2z&quot;></path>
                <path d=&quot;M0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
            </svg>
        </button>

        <button class=&quot;slower&quot; title=&quot;Decrease playback speed&quot;>
            <!-- switch_right -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; enable-background=&quot;new 0 0 24 24&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24&quot; height=&quot;24&quot;>
                <rect fill=&quot;none&quot; width=&quot;24&quot; height=&quot;24&quot; transform=&quot;matrix(-1 -1.224647e-16 1.224647e-16 -1 24 24)&quot;></rect>
                <path d=&quot;M15.5,15.38V8.62L18.88,12L15.5,15.38 M14,19l7-7l-7-7V19L14,19z M10,19V5l-7,7L10,19z&quot;></path>
            </svg>
        </button>
        <button class=&quot;faster&quot; title=&quot;Increase playback speed&quot;>
            <!-- switch_left -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; enable-background=&quot;new 0 0 24 24&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24&quot; height=&quot;24&quot;>
                <rect fill=&quot;none&quot; height=&quot;24&quot; width=&quot;24&quot;></rect>
                <path d=&quot;M8.5,8.62v6.76L5.12,12L8.5,8.62 M10,5l-7,7l7,7V5L10,5z M14,5v14l7-7L14,5z&quot;></path>
            </svg>
        </button>

        <button class=&quot;toggle-loop&quot; title=&quot;Toggle looping&quot;>
            <!-- sync_disabled -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; class=&quot;once&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M0 0h24v24H0zm0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
                <path d=&quot;M10 6.35V4.26c-.8.21-1.55.54-2.23.96l1.46 1.46c.25-.12.5-.24.77-.33zm-7.14-.94l2.36 2.36C4.45 8.99 4 10.44 4 12c0 2.21.91 4.2 2.36 5.64L4 20h6v-6l-2.24 2.24C6.68 15.15 6 13.66 6 12c0-1 .25-1.94.68-2.77l8.08 8.08c-.25.13-.5.25-.77.34v2.09c.8-.21 1.55-.54 2.23-.96l2.36 2.36 1.27-1.27L4.14 4.14 2.86 5.41zM20 4h-6v6l2.24-2.24C17.32 8.85 18 10.34 18 12c0 1-.25 1.94-.68 2.77l1.46 1.46C19.55 15.01 20 13.56 20 12c0-2.21-.91-4.2-2.36-5.64L20 4z&quot;></path>
            </svg>
            <!-- sync -->
            <svg xmlns=&quot;http://www.w3.org/2000/svg&quot; class=&quot;loop&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;#3131ff&quot; width=&quot;24px&quot; height=&quot;24px&quot;>
                <path d=&quot;M12 4V1L8 5l4 4V6c3.31 0 6 2.69 6 6 0 1.01-.25 1.97-.7 2.8l1.46 1.46C19.54 15.03 20 13.57 20 12c0-4.42-3.58-8-8-8zm0 14c-3.31 0-6-2.69-6-6 0-1.01.25-1.97.7-2.8L5.24 7.74C4.46 8.97 4 10.43 4 12c0 4.42 3.58 8 8 8v3l4-4-4-4v3z&quot;></path>
                <path d=&quot;M0 0h24v24H0z&quot; fill=&quot;none&quot;></path>
            </svg>
        </button>

    </div>

</div>
<script>// animation.js

window.updateAnimation = (function() {

    var frameDuration = options.delay;
    var frameCount, totalDuration;
    var mixer, action, clock;
    var ui, slider;

    init();
    options.animationControls && initUI();
    options.autoPlay && play();
    return update;

    function init() {

        var frames = partitionScene();
        frameCount = frames.length;
        totalDuration = frameCount * frameDuration;

        var tracks = createTracks( frames );
        var clip = new THREE.AnimationClip( 'sage_animation', totalDuration, tracks );

        mixer = new THREE.AnimationMixer( scene );
        mixer.addEventListener( 'finished', function() { pause(); } );

        action = mixer.clipAction( clip );
        action.timeScale = 100; // Our times are in hundredths of a second.
        action.clampWhenFinished = true; // Sets paused=true instead of disabling.
        action.loop = options.loop ? THREE.LoopRepeat : THREE.LoopOnce;

        // We start/stop the clock to play/pause. The action's `paused` property
        // is instead used to determine if the animation has finished.
        action.play();

        clock = new THREE.Clock( false ); // Don't start playing yet.

    }

    // Group objects in by keyframe. The result is a potentially sparse list of
    // lists of objects. Assumes keyframe index specified in objects' user data.
    function partitionScene() {
        var frames = [];
        for ( var i=0 ; i < scene.children.length ; i++) {
            var obj = scene.children[i];
            var k = obj.userData && parseInt( obj.userData.keyframe );
            if ( k >= 0 ){
                if ( k in frames ) frames[k].push( obj );
                else frames[k] = [obj];
            }
        }
        return frames;
    }

    // Create and return a list of keyframe tracks to animate objects'
    // visibility depending on which keyframe they appear in.
    function createTracks( frames ) {
        var tracks = [];
        for ( var keyframe=0 ; keyframe < frames.length ; keyframe++ ) {
            var frame = frames[keyframe];
            if ( frame ) {
                // Show during the frame.
                var times = [keyframe * frameDuration];
                var values = [true];
                // For all but the first frame, start off hidden.
                if ( keyframe > 0 ) {
                    times.unshift( 0 );
                    values.unshift( false );
                }
                // For all but the last frame, end up hidden.
                if ( keyframe < frames.length - 1 ) {
                    times.push( ( keyframe + 1 ) * frameDuration );
                    values.push( false );
                }
                for ( var i=0; i < frame.length ; i++ ) {
                    var binding = frame[i].uuid + '.visible';
                    var track = new THREE.BooleanKeyframeTrack( binding, times, values );
                    tracks.push( track );
                }
            }
        }
        return tracks;
    }

    function initUI() {

        ui = document.getElementById( 'animation-ui' );

        initSlider();

        hookupButton( 'play-pause', togglePlayback );
        hookupButton( 'previous', gotoPreviousFrame );
        hookupButton( 'next', gotoNextFrame );
        hookupButton( 'slower', slowDown );
        hookupButton( 'faster', speedUp );
        hookupButton( 'toggle-loop', toggleLooping );

        function hookupButton( _class, onclick ) {
            var button = ui.getElementsByClassName( _class )[0];
            button.addEventListener( 'click', onclick );
            return button;
        }

    }

    function initSlider() {

        slider = ui.getElementsByClassName( 'slider' )[0];
        slider.value = action.time;
        slider.setAttribute( 'max', totalDuration );
        slider.addEventListener( 'change', change );
        slider.addEventListener( 'input', change );
        slider.addEventListener( 'mousedown', mousedown );
        slider.addEventListener( 'mouseup', mouseup );
        slider.addEventListener( 'keydown', keydown );

        function change() {
            // Keep animation in sync with position of the knob.
            seek( parseFloat( slider.value ) );
        }

        // Temporarily pause playback while the knob is being dragged around.
        var dragging = false;
        var wasPlaying = false;
        function mousedown( event ) {
            if ( event.button === 0 && !dragging ) {
                dragging = true;
                wasPlaying = isPlaying();
                pause();
            }
        }
        function mouseup( event ) {
            if ( event.button === 0 && dragging ) {
                dragging = false;
                if ( wasPlaying && !isFinished() ) play();
            }
        }

        function keydown( event ) {
            switch ( event.key ) {
                // Toggle playback using spacebar/enter.
                case ' ':
                case 'Enter':
                    if ( !event.repeat ) {
                        togglePlayback();
                        event.preventDefault();
                    }
                    break;
                // Adjust speed using up/down arrows.
                case 'Down':
                case 'ArrowDown':
                    slowDown();
                    event.preventDefault();
                    break;
                case 'Up':
                case 'ArrowUp':
                    speedUp();
                    event.preventDefault();
                    break;
                // Navigate frame-by-frame using left/right arrows.
                case 'Left':
                case 'ArrowLeft':
                    gotoPreviousFrame();
                    event.preventDefault();
                    break;
                case 'Right':
                case 'ArrowRight':
                    gotoNextFrame();
                    event.preventDefault();
                    break;
            }
        }

    }

    function isPlaying() {
        return clock.running;
    }

    function isFinished() {
        return action.paused;
    }

    function play() {
        if ( isFinished() ) action.reset(); // Return to the beginning.
        clock.start();
        updateUI();
        requestAnimationFrame( render ); // Re-enter render loop.
    }

    function pause() {
        clock.stop();
        updateUI();
    }

    function togglePlayback() {
        isPlaying() ? pause() : play();
    }

    function seek( time ) {

        // Ensure time is in range: [0, totalDuration].
        time = Math.max( 0, Math.min( totalDuration, time ) );
        action.time = time;

        // Make sure the animation is treated as finished if set to the very
        // end of the animation.
        action.paused = ( !isLooping() && time == totalDuration );

        updateUI();

        if ( !isPlaying() ) {
            // Ensure the animation gets re-rendered at the new position.
            requestAnimationFrame( render ); // Trigger a re-render.
        }

    }

    function moveKeyframes( delta ) {
        var keyframe = Math.floor( action.time / frameDuration );
        keyframe += delta;
        // Ensure keyframe is in range: [0, frameCount].
        keyframe = Math.max( 0, Math.min( frameCount, keyframe ) );
        seek( keyframe * frameDuration );
    }

    function gotoPreviousFrame() {
        pause();
        moveKeyframes( -1 );
    }

    function gotoNextFrame() {
        pause();
        moveKeyframes( +1 );
    }

    function speedUp() {
        action.timeScale *= 1.25;
    }

    function slowDown() {
        action.timeScale /= 1.25;
    }

    function isLooping() {
        return action.loop === THREE.LoopRepeat;
    }

    function setLooping( looping ) {
        action.loop = looping ? THREE.LoopRepeat : THREE.LoopOnce;
        updateUI();
    }

    function toggleLooping() {
        setLooping( !isLooping() );
    }

    function update() {
        mixer.update( clock.getDelta() );
        updateUI();
        return clock.running; // Should exit render loop if false.
    }

    function updateUI() {
        if ( ui ) {
            ui.classList.remove( 'playing', 'paused', 'once', 'loop' );
            ui.classList.add( isPlaying() ? 'playing' : 'paused' );
            ui.classList.add( isLooping() ? 'loop' : 'once' );
        }
        if ( slider ) slider.value = action.time;
    }

})();
</script>


</body></html>

"></iframe>